**一. 題目描述**
Given a sorted array and a target value, return the index if the target is found. If not, return the index where it would be if it were inserted in order.
You may assume no duplicates in the array.
Here are few examples.
~~~
[1,3,5,6], 5 → 2
[1,3,5,6], 2 → 1
[1,3,5,6], 7 → 4
[1,3,5,6], 0 → 0
~~~
**二. 題目分析**
題目的大意是,給定一個已排序的數組和一個目標值`target`,如果在數組中找到該目標值,就返回這個目標值的元素下標。如果沒有找到,就返回`target`應該插入到該數組中的位置下標。這個過程中,假設該數組中沒有重復元素。
和[Search for a Range](http://blog.csdn.net/liyuefeilong/article/details/50403616)?的解法類似,二分查找即可,可能出問題的地方是對邊界條件的處理。
**三. 示例代碼**
~~~
#include <iostream>
#include <vector>
using namespace std;
class Solution {
public:
int searchInsert(vector<int>& nums, int target) {
int n = nums.size(), low = 0, high = n - 1, midIndex = 0;
while (low <= high)
{
midIndex = (low + high) / 2;
if (nums[midIndex] == target)
return midIndex;
else if (nums[midIndex] > target)
high = midIndex - 1;
else
low = midIndex + 1;
}
// 邊界
if (low > n)
return n;
if (high < 0)
return 0;
}
};
~~~
解題結果:

**四. 小結**
二分查找的經典題目,對邊界的情況需要額外考慮。該題實際上是實現:`std::lower_bound()`?的功能。
- 前言
- 2Sum
- 3Sum
- 4Sum
- 3Sum Closest
- Remove Duplicates from Sorted Array
- Remove Duplicates from Sorted Array II
- Search in Rotated Sorted Array
- Remove Element
- Merge Sorted Array
- Add Binary
- Valid Palindrome
- Permutation Sequence
- Single Number
- Single Number II
- Gray Code(2016騰訊軟件開發筆試題)
- Valid Sudoku
- Rotate Image
- Power of two
- Plus One
- Gas Station
- Set Matrix Zeroes
- Count and Say
- Climbing Stairs(斐波那契數列問題)
- Remove Nth Node From End of List
- Linked List Cycle
- Linked List Cycle 2
- Integer to Roman
- Roman to Integer
- Valid Parentheses
- Reorder List
- Path Sum
- Simplify Path
- Trapping Rain Water
- Path Sum II
- Factorial Trailing Zeroes
- Sudoku Solver
- Isomorphic Strings
- String to Integer (atoi)
- Largest Rectangle in Histogram
- Binary Tree Preorder Traversal
- Evaluate Reverse Polish Notation(逆波蘭式的計算)
- Maximum Depth of Binary Tree
- Minimum Depth of Binary Tree
- Longest Common Prefix
- Recover Binary Search Tree
- Binary Tree Level Order Traversal
- Binary Tree Level Order Traversal II
- Binary Tree Zigzag Level Order Traversal
- Sum Root to Leaf Numbers
- Anagrams
- Unique Paths
- Unique Paths II
- Triangle
- Maximum Subarray(最大子串和問題)
- House Robber
- House Robber II
- Happy Number
- Interlaving String
- Minimum Path Sum
- Edit Distance
- Best Time to Buy and Sell Stock
- Best Time to Buy and Sell Stock II
- Best Time to Buy and Sell Stock III
- Best Time to Buy and Sell Stock IV
- Decode Ways
- N-Queens
- N-Queens II
- Restore IP Addresses
- Combination Sum
- Combination Sum II
- Combination Sum III
- Construct Binary Tree from Inorder and Postorder Traversal
- Construct Binary Tree from Preorder and Inorder Traversal
- Longest Consecutive Sequence
- Word Search
- Word Search II
- Word Ladder
- Spiral Matrix
- Jump Game
- Jump Game II
- Longest Substring Without Repeating Characters
- First Missing Positive
- Sort Colors
- Search for a Range
- First Bad Version
- Search Insert Position
- Wildcard Matching